Answers
3x^2 (y^5)^1/4 which is the first choice
Explanation:
The fourth root means that the bracket under has the root has a power of 1/4.
So, the given expression is:
(81 * x^8 * y^5)^1/4
Now, we will distribute the power as follows:
(81 * x^8 * y^5)^1/4 = (81)^1/4 * (x^8)^1/4 * (y^5)^1/4
= 3 * x^2 * y^5/4
This expression is equivalent to:
3x^2 (y^5)^1/4 which is the first choice
Hope this helps :)
Related Questions
In a rectangle, a diagonal forms a 36° angle with a side. Find the measure of the angle between the diagonals, which lies opposite to a shorter side.
Answers
Answer:
The answer is 72 degrees
Step-by-step explanation:
The picture that Helpmetnx showed does work. But they made a mistake and assumed that the diagonal is a angle bisector, and it's not.
1. rectangle ABCD, BD & AC are the diagonals. ∠ABD =36 degrees
2. ∠ABD= ∠BDC = 36 - alternate interior angles
3. ∠DBC = 90 - 36 = 54. ∠DBC =∠ADB = ∠BCA = 54
4. Now we know that the triangle formed between the two diagonals is a isosceles triangle because of base angle theorem.
5. 180 - 54*2 = 72 degrees
I hope this helps!
Elizabeth rode her bike 6 1/2 miles from her house to the library and then another 2 2/5 miles to her friend Milo's house. If Carson's house is 2 1/2 miles beyond Milo's house, how far would she travel from her house to Carson's house?
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Answer:
Step-by-step explanation:
11.4
You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?
answers :
a.using a paid membership card to buy it at a 10 percent discount
b.buying it online at a 10 percent discount with a $5 shipping charge
c.buying it at a 10 percent discount without sales tax
Answers
How many ways can 6 students desks be arranged in a row permutation or combination?
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= 6*5*4*3*2*1 = 720
Given the geometric sequence where a1 = 2 and r = √2 find a9
32
32√2
256
256√2
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a9= 2*V2^8=2*2^4=2^5
⇒ a9 = 32
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
There is a geometric sequence:
where a₁ = 2
r = √2
We need to find a₉:
As we know the formula for "nth term ":
[tex]a_n=ar^{n-1}\\\\a_9=ar^{9-1}\\\\a_9=ar^8\\\\a_9=2\times (\sqrt{2})^8\\\\a_9=32[/tex]
Hence, First option is correct.
how do I get from step 3 to step four? please explain.
sin x = opposite over hypotenuse
sin 45° = 50 over x
0.707106781 ≈ 50 over x
(0.707106781)x ≈ 50
x ≈ 70.71
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Hope this helped :*
i need help with adding and subtracting fractions
WHAT IS 3/8-3/9 ? I NEED TO SHOW MY WORK
Answers
multiply the denominator and numerator of 3/8 by 9 (27/72)
multiply the denominator and numerator of 3/9 by 8 (24/72)
this is to get the same denominator of 72
then just subtract
27/72 - 24/72 = 3/72
The result is 1/24
Explanation:
First step is to get the common denominator:
The common denominator here will be 8*9 = 72
Therefore:
3/8 = 27/72
3/9 = 24/72
Second step is to do the subtraction:
27/72 - 24/72 = (27-24) / 72 = 3/72
The last step is to simplify the result:
3/72 = 1/24
Hope this helps :)
Need help ASAP
Which statements are true? Select each correct answer.
40m^6−4=4(10m^6−1)
6m^2+18m=6m^2(1+3m)
32m^4+12m^3=4m^3(8m+3)
15m^3−6m=3m(5m^2−6m)
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Which of the binomials below is a factor of this trinomial? 5x2 + 20x + 15
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5 x^2 + 20 x + 15
Factor 5 out of 5 x^2 + 20 x + 15:
5 (x^2 + 4 x + 3)
The factors of 3 that sum to 4 are 3 and 1. So, x^2 + 4 x + 3 = (x + 3) (x + 1):
Answer: 5 (x + 3) (x + 1)
factor X + 1 is the answer
PLEASE FULL ANSWERS! need all the help I can get
Answers
You need a value at x = 2 that makes 4x = 8
2 equations, 2 unknowns. This think has to have an answer.
cx^2 + d = 2 when x = 1
c(1)^2 + d = 2
c + d = 2
cx^2 + d = 8 when x = 2
4c + d = 8
c + d = 2 Subtract
3c = 6
c = 2
Now go back and solve for d
c + d = 2
d = 0
==========
That should make it continuous at every point.
You should take note that h(x) has a problem at x = 2. The graph is well behaved at less than x =2 and it is well behaved at x > 2. It is just x = 2 that's the double ugly part of the problem. Check your givens above to make sure you understand what I'm saying. If you don't give me a shout.
Can someone graph these 2 equations for me??
y=5(1/2)^x +4
y=4(1/6)^(x+2)
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The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. solve for x. Round to the nearest whole number.
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Answer: The answer is actually 6.
Step-by-step explanation:
The value of x is 6, rounded to the nearest whole number.
To solve for x given the conditions:
1. Define the variables based on the problem:
- Length of the rectangle [tex](\( L \)) = \( x + 2 \)[/tex]
- Width of the rectangle [tex](\( W \)) = \( 2x - 5 \)[/tex]
2. Write the equation for the area of the rectangle:
- Area [tex](\( A \)) = \( L \times W \)[/tex]
- Given that the area is 56 cm², we have:
[tex]\[ (x + 2)(2x - 5) = 56 \][/tex]
3. Expand the equation:
[tex]\[ (x + 2)(2x - 5) = 2x^2 - 5x + 4x - 10 = 2x^2 - x - 10 \][/tex]
4. Set up the equation:
[tex]\[ 2x^2 - x - 10 = 56 \][/tex]
5. Move all terms to one side of the equation to set it to zero:
[tex]\[ 2x^2 - x - 10 - 56 = 0 \] \[ 2x^2 - x - 66 = 0 \][/tex]
6. Solve the quadratic equation using the quadratic formula:
[tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]\\ where \( a = 2 \), \( b = -1 \), and \( c = -66 \).[/tex]
7. Calculate the discriminant:
[tex]\[ \Delta = b^2 - 4ac = (-1)^2 - 4(2)(-66) = 1 + 528 = 529 \][/tex]
8. Calculate the roots:
[tex]\[ x = \frac{-(-1) \pm \sqrt{529}}{2(2)} = \frac{1 \pm 23}{4} \][/tex]
So, the solutions are:
[tex]\[ x = \frac{1 + 23}{4} = \frac{24}{4} = 6 \][/tex]
and
[tex]\[ x = \frac{1 - 23}{4} = \frac{-22}{4} = -5.5 \][/tex]
Since x must be a positive value in the context of this problem, we have: x = 6
9. Verify the solution:
Length L = x + 2 = 6 + 2 = 8 cm
Width W = 2x - 5 = 2(6) - 5 = 12 - 5 = 7 cm
Area = [tex]\( 8 \times 7 = 56 \)[/tex] cm², which matches the given area.
Therefore, ( x = 6).
If h(x) = 6 - x, what is the value of ( h o h)(10)?
Answers
Although if x=10 then 6-10=-4.
Find the equation, (f(x) = a(x-h)2+ k), for a parabola containing point (-1,0) and having (-3, 4) as a vertex. What is the standard form of the equation?
Answers
What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 5.6 cm? Enter your answer as a decimal in the box.
Answers
central angle theta (in radians) = arc length / radius
So theta = 5.6/8 = 0.7 radians
The central angle measure for a circle with an 8 cm radius and a 5.6 cm intercepted arc length is 0.7 radians.
The question asks to find the measure in radians for the central angle of a circle with a radius of 8 cm and an intercepted arc length of 5.6 cm. To calculate the central angle in radians, we use the formula θ = [tex]\frac{l}{r}[/tex], where θ is the central angle in radians, l is the arc length, and r is the radius of the circle. Substituting the given values, we get θ = [tex]\frac{5.6}{8}[/tex]
Through calculation, θ = 0.7 radians. So, the measure of the central angle that intercepts an arc length of 5.6 cm in a circle with a radius of 8 cm is 0.7 radians.
The next number in the arithmetic sequence 15, 22, 29, ___ is:
A. 34
B. 35
C. 36
D. 37
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helppppppppppppppppppppppppppppppppppp
Answers
Inverse property of multiplication
Explanation:
The inverse property of multiplication means that each terms undoes the function of the other. The main purpose of the inverse property in multiplication is to obtain 1.
In the given:
17/3 * 3/17
We will find that the 17 in the numerator is cancelled with the 17 in the denominator and the 3 in the numerator is cancelled with the 3 in the denominator.
Therefore, the final answer is 1.
Hope this helps :)
will give brainliest for correct answer
Use the triangle pictured to calculate the following measurements.
Perimeter: p = ___ units Semiperimeter: s = ___units Area: A ≈ ___square
Answers
Perimeter is 30 units
Semi-perimeter is 15 units
The Area is 39.7 square units
Marukh can wash the car in 10 minutes. steven can wash the car in 60 minutes. if marukh and steven work together, how long will it take them to wash the car? round your answer to the nearest minute.
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as that is their average in minutes for how long it takes to wash the car.
60 + 10 = 70
70 / 2 = 35
PLEASE HELP ASAP!!!!! LOTS OF POINTS
Answers
Answer:
Your answer is D :)
Step-by-step explanation:
No explanation :) <3
According to these three facts, which statements are true? - Circle D has center (2, 3) and radius 7. - Circle F is a translation of circle D, 2 units right. - Circle F is a dilation of circle D with a scale factor of 2.
A) Circle F and circle D are similar.
B) The center of circle F is (0, 3).
C) The radius of circle F is 28.
D) Circle F and circle D are congruent.
(Again, you can choose more than one option.)
Answers
Jerry's beginning balance in his checkbook was $457.56. He made deposits of $20, $80, and $165 and wrote checks for $216.58. His bank charge was $3.50. What was his ending balance for the month? a. $552.10 b. $505.98 c. $722.56 d. $502.48
Answers
First, when Jimmy make deposits, he should add the amount of the deposits from the amount he has in the bank.
Second, when Jimmy write checks, he should deduct the amount of the checks from the amount he has in the bank.
And third, he should also deduct any bank charges from the amount he has in the bank.
From the question we know that Jimmy made deposits of $20, $80, and $165, so he should add those amounts to the money he has in the bank:
[tex]Balance=457.56+20+80+165[/tex]
[tex]Balance=722.56[/tex]
We also know that he wrote checks for $216.58, so he should subtract the amount from the balance:
[tex]Balance=722.56-216.58[/tex]
[tex]Balance=505.98[/tex]
Last but not least, the bank charged Jimmy $3.50, so we should subtract that amount from the balance too:
[tex]Balance=505.98-3.50[/tex]
[tex]Balance=502.48[/tex]
Notice that you can also add/subtract all the deposits, checks, and bank charges all at once:
[tex]Balance=457.56+20+80+165-216.58-3.50[/tex]
[tex]Balance=502.48[/tex]
Either way we can conclude that his ending balance for the month was $502.48; therefore, d is the correct answer.
PLEASE!!!!!!!!!!!!!HURRY!!!!!!!!!!!!!!!!!!!!!!!20 points!!!!!!!!!!!!!!!!!!!!!!1
A group of children are asked whether they prefer vanilla or chocolate ice cream. The data are collected in the table.
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Jordan needs 6 3/10 gallons of milk to make 4 1/2 gallons of ice cream. How many gallons of milk will jordan need to make one gallon of ice cream
Answers
you may need to round it if necessary
hope this helps :)
Answer:
[tex]1\frac{2}{5}[/tex] gallon of milk is needed to make one gallon of ice cream
Step-by-step explanation:
Using unitary method,
Unitary method is a method use to find the value of a unit quantity.
[tex]6\frac{3} {10}[/tex] gallon of milk needed to make [tex]4\frac{1}{2}[/tex] gallon of milk
[tex]\frac{63}{10}[/tex] gallon of milk needed to make [tex]\frac{9}{2}[/tex] gallon of ice cream
One gallon of ice cream needed = [tex]\frac{63}{10} \times \frac{2}{9}[/tex] gallon of milk
= [tex]\frac{7}{5}[/tex] gallon of milk
= [tex]1\frac{2}{5}[/tex] gallon of milk
Thus, [tex]1\frac{2}{5}[/tex] gallon of milk is needed to make one gallon of ice cream.
What is the scale factor when △RST is dilated to △R'S'T'? What is the value of x?
A. Scale factor 0.75, x = 8
B. Scale factor 0.75, x = 4.5
C. Scale factor 1.3, x = 8
D. Scale factor 1.3, x = 4.5
Answers
x = 6* 6 / 4.5
x = 36/4.5
x = 8
SF = 4.5 / 6 = 0.75
answer
A. Scale factor 0.75, x = 8
Factor completely: x2 + 6x + 8
* (x + 8)(x + 1)
* (x + 2)(x + 4)
* (x2 + 8)(x + 1)
* Prime
Answers
Which would be: (x+2)(x+4)
Hope I helped.
Answer:
(x+2)(x+4)
Step-by-step explanation:
Figure A is reflected over the y-axis and then lowered 6 units. Which sequence describes these transformations.
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The population of a local species of dragon fly can be found using an infinite geometric series where a1=36 and the common ratio is 1/2 write the sum in sigma notation and calculate the sum that will be the upper limit of this population
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[tex]a_0=72\\ a_1=72* \dfrac{1}{2}=36 \\ ...\\ a_i=72* \dfrac{1}{2^i} \\\\ \lim_{n \to \infty} \sum_{i=0}^{\infty}\ a_i = \lim_{n \to \infty}72* \sum_{i=0}^{\infty}\ \dfrac{1}{2^i} \\\\ =72* \lim_{n \to \infty} \dfrac{1-\frac{1}{2^{n+1}}}{1-\frac{1}{2}} \\\\ =72*2=144 [/tex]
Celina says that each of the following expressions is actually a binomial in disguise:(Expressions in picture) For example, she sees that the expression in (i) it is algebraically equivalent to − , which is indeed a binomial. (She is happy to write this as + (−), if you prefer.) Is she right about the remaining four expressions?
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All the given expressions are binomials except the expression in (i) which is a trinomial.
What are binomials in expressions?
Binomials can be defined as the expression that contains two variables that are different in terms.
ii.) 5x³* 2x²- 10x⁴+3x⁵+ 3x * (-2)x⁴
= 10x⁵-10x⁴+3x⁵-6x⁵
= 7x⁵+10x⁴ (this is an example of a binominal)
iii.) (t+2)²- 4t = t²+ 4t+4-4t = t²+4(binomial)
iv.) 5(a-1)-10(a-1)+100(a-1)
= 5a-5-10a+10+100a-100
= 95a - 95 (binomials)
v.) (2πr-πr²)r-(2πr-πr²)2r
= 2πr²-πr³-4πr²+2πr³
= -2πr²+πr³(binomials)
In this parallelogram m angle bad =75 so m angle bcd
Answers
we know that
m angle bad =75°
remember that on parallelogram
(∠A + ∠B) = 180°
[Since, sum of the interior angles on the same side of the transversal is 180°]
therefore
∠B=180°-∠A=180°-75°=105°
∠B=105°
Similarly
∠B + ∠C = 180°
∠C + ∠D = 180°
and ∠D + ∠A = 180°
Thus, the sum of any two adjacent angles of a parallelogram is 180°.
m angle bcd=∠C=180-∠B=180°-105°=75°
the answer is m angle bcd=75°